205431553430000 has 200 divisors, whose sum is σ = 518276763409680. Its totient is φ = 78759950080000.

The previous prime is 205431553429943. The next prime is 205431553430017. The reversal of 205431553430000 is 34355134502.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 37144655 + ... + 42315345.

Almost surely, 2^{205431553430000} is an apocalyptic number.

205431553430000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205431553430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259138381704840).

205431553430000 is an abundant number, since it is smaller than the sum of its proper divisors (312845209979680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

205431553430000 is a wasteful number, since it uses less digits than its factorization.

205431553430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5170885 (or 5170864 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 35.

The spelling of 205431553430000 in words is "two hundred five trillion, four hundred thirty-one billion, five hundred fifty-three million, four hundred thirty thousand".